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Finding the Third Proportional to 7,194,722,976 and 16,043,745,876

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Solution

The third proportional to 7,194,722,976 and 16,043,745,876 is: 35,776,468,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,722,976 : 16,043,745,876 = 16,043,745,876 : x
  2. Step 2: Convert to fraction form
    7,194,722,976/16,043,745,876 = 16,043,745,876/x
  3. Step 3: Cross multiply
    7,194,722,976x = 16,043,745,876 × 16,043,745,876
  4. Step 4: Simplify right side
    7,194,722,976x = 257,401,781,733,667,012,608
  5. Step 5: Solve for x
    x = 257,401,781,733,667,012,608/7,194,722,976
  6. Step 6: Final answer
    x = 35,776,468,752.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.